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130636542132 = 223228571270141
BaseRepresentation
bin111100110101010001…
…0110111000010110100
3110111012021200221021100
41321222202313002310
54120020423322012
6140002534250100
712303203200215
oct1715242670264
9414167627240
10130636542132
1150447a16708
1221399ab6930
13c41ba26095
146473c4540c
1535e8b9d8dc
hex1e6a8b70b4

130636542132 has 36 divisors (see below), whose sum is σ = 330335991076. Its totient is φ = 43530238080.

The previous prime is 130636542103. The next prime is 130636542161. The reversal of 130636542132 is 231245636031.

130636542132 is a `hidden beast` number, since 1 + 3 + 0 + 636 + 5 + 4 + 2 + 13 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (130636542103) and next prime (130636542161).

It can be written as a sum of positive squares in 2 ways, for example, as 75017923236 + 55618618896 = 273894^2 + 235836^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1306365421322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 532219 + ... + 737922.

Almost surely, 2130636542132 is an apocalyptic number.

130636542132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130636542132 is an abundant number, since it is smaller than the sum of its proper divisors (199699448944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130636542132 is a wasteful number, since it uses less digits than its factorization.

130636542132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273008 (or 1273003 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 130636542132 in words is "one hundred thirty billion, six hundred thirty-six million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2857 5714 8571 11428 17142 25713 34284 51426 102852 1270141 2540282 3810423 5080564 7620846 11431269 15241692 22862538 45725076 3628792837 7257585674 10886378511 14515171348 21772757022 32659135533 43545514044 65318271066 130636542132